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The molar heat capacity for an ideal gas...

The molar heat capacity for an ideal gas cannot

A

be negative

B

be equal to either `C_(V)` or `C_(P)`

C

lie in the range `C_(V) le C le C_(P)`

D

it may have any value between `- oo` and `+ oo`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
The molar heat capacity has the general definition
`C=(1)/(n) (DeltaQ)/(DeltaT)`
where `n=` number of moles
`Delta Q=` heat absorbed by the gas
`DeltaT=` rise in temperature of gas
It is possible to obtain almose any set of values for `DeltaQ` and `DeltaT` by proper selection of a process.
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Which of the following is true for the molar heat capacity of an ideal gas? 1.It cannot be negative 2.It has only two values (C_(P) and C_(V) ) 3.It can have any value 4.It cannot be zero

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Knowledge Check

  • The equation of the molar the heat capacity for an ideal gas in given by : C = (R)/(gamma-1)+(P)/(n)((dV)/(dT)) When , R is universal gas constant, gamma is a dimesnion constant , P is opressure, V is volume 'n' is number of mole, T is temperature Then find the SI units for the molar heat capacity .

    A
    `J mol//K`
    B
    `mol J//K`
    C
    `mol//K`
    D
    `J//molK`

  • Molar heat capacity is

    A
    extensive property
    B
    intensive property
    C
    path function
    D
    independent of temperature

  • The molar heat capacity of an ideal gas in a process varies as C=C_(V)+alphaT^(2) (where C_(V) is mola heat capacity at constant volume and alpha is a constant). Then the equation of the process is

    A
    `Ve^(-((alphaT^(2))/(2R)))=` Constant
    B
    `Ve^(-((alphaT^(2))/(R)))=` constant
    C
    `Ve^(-((2alphaT^(2))/(R)))=` constant
    D
    `Ve^(-((3alphaT^(2))/(2R)))=` constant

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